Question

which are the identities of polynomials​

Answer 1

Answer: Some Useful Identities -

There are many popular polynomial identities in the math world, and here are some valuable ones: -

(a + b)² = a² + 2ab + b²

This one can speed up your factoring and FOIL (First - Outside - Inside - Last) multiplying. When a binomial is squared, it always breaks down to the same expression. A similar identity is the one where the terms are being subtracted: -

(a - b)² = a² - 2ab + b²

When you see a polynomial in either form on the right side of the identity, you know that it will factor into the expression on the left. Remember, these are not the same as a² + b², which doesn't have an identity for factoring.

Difference Between Squares -

The difference between squares identity can save you many hours of factoring and multiplying:

a² - b² = (a + b) (a - b)

This identity is so useful you find yourself looking hopefully through your polynomial problems, delighted when you see any form of a difference between squares. Once again, the sum of squares a² + b&sup2, won't factor (at least, not into real numbers) and doesn't have a useful identity like these.